博弈论试题及答案英文

博弈论试题及答案英文姓名：____________________

一、多项选择题（每题2分，共20题）

1.Ingametheory,astrategyprofileis:

A.Thesetofstrategieschosenbyallplayersinagame.

B.Thepayoffsreceivedbyeachplayerforaparticularcombinationofstrategies.

C.Asituationwhereplayerscanmakedecisionsthataffecttheoutcomeofthegame.

D.Alloftheabove.

2.Theconceptof"dominantstrategy"refersto:

A.Astrategythatisthebestchoiceforaplayerregardlessofthestrategieschosenbyotherplayers.

B.Astrategythatalwaysyieldsahigherpayoffthananyotherstrategyavailabletoaplayer.

C.Astrategythatisnotaffectedbythestrategiesofotherplayers.

D.Astrategythatischosenbythemajorityofplayersinagame.

3.Inazero-sumgame:

A.Thetotalpayofftoallplayersiszero.

B.Eachplayer'spayoffisequaltothenegativeofthesumoftheotherplayers'payoffs.

C.Thesumofthepayoffsofallplayersisconstant.

D.Thereisnorelationshipbetweenthepayoffsofdifferentplayers.

4.The"Prisoner'sDilemma"isanexampleof:

A.Acooperativegame.

B.Anon-cooperativegame.

C.Agamewithauniqueequilibrium.

D.Agamewhereplayerscanmakedecisionsthataffecttheoutcomeofthegame.

5.Ina"tit-for-tat"strategy,aplayer:

A.Alwaysplaysthesamestrategyastheopponent.

B.Copiestheopponent'spreviousmove.

C.Alwayschoosesthestrategythatmaximizesthepayoff.

D.Randomlyselectsastrategytoplay.

6.The"Nashequilibrium"is:

A.Asituationwherenoplayercanimprovetheirpayoffbyunilaterallychangingtheirstrategy.

B.Theoptimalstrategyforaplayergiventhestrategiesoftheotherplayers.

C.Asituationwhereallplayersareplayingtheirdominantstrategy.

D.Asituationwherethesumofpayoffsismaximized.

7.Ina"chicken"game:

A.Bothplayersprefertoavoidacollision.

B.Bothplayersprefertotaketheriskofcollision.

C.Oneplayerpreferstotaketheriskofcollisionwhiletheotherpreferstoavoidit.

D.Thereisnoclearpreferenceforeithercollisionoravoidance.

8.Theconceptof"backwardinduction"isusedto:

A.Determinetheoptimalstrategyforaplayerinasequentialgame.

B.Analyzethebehaviorofplayersinasimultaneousgame.

C.Findtheequilibriumofagamewithmultipleplayers.

D.Determinethepayoffsforeachplayerinagame.

9.Ina"battleofthesexes"game:

A.Bothplayersprefertogotothesameevent.

B.Bothplayersprefertogotodifferentevents.

C.Oneplayerpreferstogotothesameeventwhiletheotherpreferstogotoadifferentevent.

D.Thereisnoclearpreferenceforeitherevent.

10.The"all-payauction"isatypeof:

A.First-priceauction.

B.Second-priceauction.

C.Dutchauction.

D.Englishauction.

11.Ina"rock-paper-scissors"game:

A.Eachplayerhasanequalchanceofwinning.

B.Theplayerwiththehighesthandwins.

C.Theplayerwiththelowesthandwins.

D.Theplayerwhomakesthefirstmovewins.

12.Theconceptof"subgameperfectequilibrium"isusedto:

A.Analyzethebehaviorofplayersinasequentialgame.

B.Determinetheoptimalstrategyforaplayerinasimultaneousgame.

C.Findtheequilibriumofagamewithmultipleplayers.

D.Determinethepayoffsforeachplayerinagame.

13.Ina"matchingpennies"game:

A.Bothplayershaveanequalchanceofwinning.

B.Theplayerwiththehighestcoinwins.

C.Theplayerwiththelowestcoinwins.

D.Theplayerwhomakesthefirstmovewins.

14.The"all-or-nothingauction"isatypeof:

A.First-priceauction.

B.Second-priceauction.

C.Dutchauction.

D.Englishauction.

15.Ina"coordinationgame"withtwoplayers:

A.Theplayersmustchoosethesamestrategytoachievethebestoutcome.

B.Theplayerscanchoosedifferentstrategiesandstillachieveagoodoutcome.

C.Theplayersmustchoosethesamestrategytoavoidapooroutcome.

D.Theplayerscanchoosedifferentstrategiesandstillavoidapooroutcome.

16.Theconceptof"dominantstrategyNashequilibrium"isusedto:

A.Analyzethebehaviorofplayersinasequentialgame.

B.Determinetheoptimalstrategyforaplayerinasimultaneousgame.

C.Findtheequilibriumofagamewithmultipleplayers.

D.Determinethepayoffsforeachplayerinagame.

17.Ina"prisoner'sdilemma"game:

A.Theplayersprefertocooperatetoachieveabetteroutcome.

B.Theplayersprefertodefecttoachieveabetteroutcome.

C.Theplayerscanchoosetocooperateordefect,buttheoutcomedependsontheotherplayer'schoice.

D.Theplayersmustchoosetocooperateordefect,buttheoutcomedependsontheotherplayer'schoice.

18.Theconceptof"mixedstrategyNashequilibrium"isusedto:

A.Analyzethebehaviorofplayersinasequentialgame.

B.Determinetheoptimalstrategyforaplayerinasimultaneousgame.

C.Findtheequilibriumofagamewithmultipleplayers.

D.Determinethepayoffsforeachplayerinagame.

19.Ina"chicken"game:

A.Bothplayersprefertoavoidacollision.

B.Bothplayersprefertotaketheriskofcollision.

C.Oneplayerpreferstotaketheriskofcollisionwhiletheotherpreferstoavoidit.

D.Thereisnoclearpreferenceforeithercollisionoravoidance.

20.Theconceptof"equilibriumselection"isusedto:

A.Analyzethebehaviorofplayersinasequentialgame.

B.Determinetheoptimalstrategyforaplayerinasimultaneousgame.

C.Findtheequilibriumofagamewithmultipleplayers.

D.Determinethepayoffsforeachplayerinagame.

二、判断题（每题2分，共10题）

1.Ingametheory,aNashequilibriumisalwaysParetooptimal.()

2.Inazero-sumgame,allplayershaveadominantstrategy.()

3.Theconceptof"dominantstrategy"isapplicableonlytosimultaneousgames.()

4.Ina"battleofthesexes"game,ifbothplayerschoosethesameevent,theybothreceivealowerpayoffthaniftheychoosedifferentevents.()

5.The"tit-for-tat"strategyisalwaysthebestresponsetoanystrategyprofile.()

6.Ina"matchingpennies"game,theexpectedpayoffforeachplayeriszero.()

7.Inafirst-priceauction,thehighestbidderpaystheirbidamount.()

8.The"prisoner'sdilemma"isanexampleofacoordinationgame.()

9.Ina"chicken"game,ifbothplayerschoosetoavoidacollision,theoutcomeisconsideredaNashequilibrium.()

10.Theconceptof"equilibriumselection"explainswhyplayersmightconvergeonaparticularequilibriumevenifitisnotthemostrationalchoice.()

三、简答题（每题5分，共4题）

1.Explainthedifferencebetweenasimultaneousgameandasequentialgameintermsofinformationanddecision-making.

2.Describetheconceptof"dominantstrategy"andgiveanexampleofagamewhereadominantstrategyexists.

3.Discusstheimplicationsofthe"Prisoner'sDilemma"forreal-worldsituationsandhowitcanbeappliedtounderstandhumanbehavior.

4.Explaintheconceptof"backwardinduction"andhowitisusedtofindthesubgameperfectequilibriuminasequentialgame.

四、论述题（每题10分，共2题）

1.Discusstheroleofcommunicationincoordinationgamesandhowitcanaffecttheoutcomeofthegame.Provideexamplesfromreal-worldscenariostoillustrateyourpoints.

2.Analyzetheconceptof"equilibriumselection"anditsrelevanceinunderstandingthedynamicsofrepeatedgames.Howdoesthehistoryofinteractionsbetweenplayersinfluencetheirchoicesinarepeatedgame?

试卷答案如下：

一、多项选择题（每题2分，共20题）

1.D.Alloftheabove.

2.A.Astrategythatisthebestchoiceforaplayerregardlessofthestrategieschosenbyotherplayers.

3.A.Thetotalpayofftoallplayersiszero.

4.B.Anon-cooperativegame.

5.B.Copiestheopponent'spreviousmove.

6.A.Asituationwherenoplayercanimprovetheirpayoffbyunilaterallychangingtheirstrategy.

7.C.Oneplayerpreferstotaketheriskofcollisionwhiletheotherpreferstoavoidit.

8.A.Determinetheoptimalstrategyforaplayerinasequentialgame.

9.A.Bothplayersprefertogotothesameevent.

10.D.Englishauction.

11.A.Eachplayerhasanequalchanceofwinning.

12.A.Analyzethebehaviorofplayersinasequentialgame.

13.A.Bothplayershaveanequalchanceofwinning.

14.D.Englishauction.

15.A.Theplayersmustchoosethesamestrategytoachievethebestoutcome.

16.B.Determinetheoptimalstrategyforaplayerinasimultaneousgame.

17.C.Theplayerscanchoosetocooperateordefect,buttheoutcomedependsontheotherplayer'schoice.

18.B.Determinetheoptimalstrategyforaplayerinasimultaneousgame.

19.C.Oneplayerpreferstotaketheriskofcollisionwhiletheotherpreferstoavoidit.

20.D.Determinethepayoffsforeachplayerinagame.

二、判断题（每题2分，共10题）

1.False.ANashequilibriumisnotnecessarilyParetooptimal.

2.False.Notallzero-sumgameshavedominantstrategies.

3.False.Dominantstrategiescanbeapplicableinbothsimultaneousandsequentialgames.

4.True.Ifbothplayerschoosethesameevent,thepayoffislowerduetothelackofcoordination.

5.False."Tit-for-tat"isnotalwaysthebestresponsetoanystrategyprofile.

6.True.Inamatchingpenniesgame,theexpectedpayoffforeachplayeriszero.

7.True.Inafirst-priceauction,thehighestbidderpaystheirbidamount.

8.False.The"Prisoner'sDilemma"isanon-cooperativegame.

9.False.Ifbothplayerschoosetoavoidacollision,itisnotaNashequilibrium.

10.True.Equilibriumselectioncanexplainwhyplayersmightconvergeonaparticularequilibrium.

三、简答题（每题5分，共4题）

1.Insimultaneousgames,playersmaketheirdecisionsatthesametimewithoutknowingthedecisionsofothers.Insequentialgames,playersmakedecisionsoneafteranother,witheachplayerhavinginformationaboutthepreviousplayer'sdecision.Thisinformationcanaffectsubsequentdecisionsandstrategies.

2.Adominantstrategyisastrategythatyieldsthehighestpayoffforaplayerregardlessofthestrategieschosenbyotherplayers.Anexampleisthe"rock"strategyinrock-paper-scissors,asitalwaysbeats"scissors"andties"paper,"makingitthedominantstrategyagainstbothofthoseoptions.

3.The"Prisoner'sDilemma"illustratestheconflictbetweenindividualrationalityandcollectiverationality.Itshowsthateventhoughcooperationwouldleadtoabetteroutcomeforbothplayers,thetemptationtodefect(andpotentiallygainahigherpayoff)leadstoasubo